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1972, Volume 6, Issue 4  


Normal forms for functions near degenerate critical points, the Weyl groups of $A_k$, $D_k$, $E_k$ and Lagrangian singularities
V. I. Arnol'd
3
The analytic continuation of generalized functions with respect to a parameter
J. H. Bernstein
26
Representations of commutative algebras
Yu. A. Drozd
41
On cohomologies of Lie algebras of vector fields with nontrivial coefficients
M. V. Losik
44
Coherent states and theta functions
A. M. Perelomov
47
Congruences modulo 16 in Hilbert's sixtieth problem
V. A. Rokhlin
58
On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
N. N. Shapovalov
65

Brief communications
On the characteristic classes and singularities of foliations
S. M. Vishik
71
On the representation of the group $GL(n,K)$ where $K$ is a local field
I. M. Gel'fand, D. A. Kazhdan
73
Elliptic boundary problems for the system
I. S. Gudovich, S. G. Krein
75
The spectrum of a zero-moment operator in the theory of thin shells
G. R. Gulgazaryan
77
Integration of many-valued forms, and weighted homogeneous polynomials
V. L. Gutenmakher
79
On forms that are orthogonal to holomorphic functions and related problems
Sh. A. Dautov
81
Hamiltonian systems connected with the rotation group
L. A. Dikii
83
Unitary representations of the special group of jets
A. A. Zaitsev
85
Construction of an entire function with prescribed indicator for prescribed integral proximate order
V. N. Logvinenko
87
A remark on an interpolational theorem of Calderon
G. Ya. Lozanovskii
89
On the covering of bounded sets in locally convex spaces
A. E. Merzon
91
Equivalence in the limit of thermodynamic ensembles in the case of one-dimensional classical systems
R. A. Minlos, A. Khaitov
93
Birth of complex invariant manifolds close to a singular point of a parametrically dependent vector field
A. S. Pyartli
95
On connectedness of the fixed point set of an automorphism of a Lie group
P. K. Rashevskii
97
Description of differentiations in algebras of the type of locally observable spin system algebras
Ya. G. Sinai, A. Ya. Helemskii
99
The maximal number of components of a fourth degree surface in $\mathbb{RP}^3$
V. M. Kharlamov
101
On a particular case of the existence of a compact linear operator which is not nuclear
I. I. Tseitlin
102
The point spectrum in the quantum-mechanical problem of many particles
D. R. Yafaev
103
Функциональный анализ и его приложения Functional Analysis and Its Applications
 
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